Club Deportivo Godoy Cruz Antonio Tomba was first established in June 1921. Usually known as Godoy Cruz, the team was originally operating as Sportivo Godoy Cruz before adopting its current name in 1930. The club has several nicknames, including Tomba, a reference to wine selling in the region, and El Expreso, a reference to the proximity of the team's stadium to the local railway. The team is affiliated with the Federal Council branch of the Argentine Football Association.

Over the years, Godoy Cruz have bounced between the country's first and second divisions on several occasions. Prior to playing in the national football league system, the team played regional football and won the Mendoza Football League a total of eight times. A major source of pride for the club's fans has come from friendly competitions. Most notably, the side achieved a 4-0 victory over Boca Juniors in 1965 and then beat River Plate 4-0 in 1997. In 2009, they won the summer Copa Ciudad de Tandil tournament.

However, major honours have eluded the team so far. The 2005-06 season saw the club crowned as champions of the Primera B Nacional. In the 2010 Clausura tournament, Godoy Cruz achieved their highest ever finish in a top flight season, as they ended the campaign in 3rd place. As a result, they gained entry into the following year's Copa Libertadores; their first ever Copa Libertadores appearance.

Throughout history a number of Godoy Cruz players have gone on to represent the Argentina national team, with some notable examples including Fabián Basualdo, Diego Pozo, Enzo Pérez and Nelson Ibáñez.

The team play home games at the Estadio Mundialista Malvinas Argentinas, which opened in 1978 ahead of that summer's FIFA World Cup. The stadium's name is a reference to the country's claims of ownership of the Falkland Islands and the venue is able to hold a maximum of 40,268 spectators.